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Finding the Third Proportional to 328,033 and 710,474

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Solution

The third proportional to 328,033 and 710,474 is: 1,538,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,033 : 710,474 = 710,474 : x
  2. Step 2: Convert to fraction form
    328,033/710,474 = 710,474/x
  3. Step 3: Cross multiply
    328,033x = 710,474 × 710,474
  4. Step 4: Simplify right side
    328,033x = 504,773,304,676
  5. Step 5: Solve for x
    x = 504,773,304,676/328,033
  6. Step 6: Final answer
    x = 1,538,788.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.